Sign balances and promotion order of Young-Fibonacci tableaux

Zhanggui Wu*, Yen Jen Cheng, Sen Peng Eu, Jyun Cheng Yao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper we give two results on Young Fibonacci tableaux. First we establish identities about the sign balances of Young Fibonacci tableaux, analog to known results on standard Young tableaux. Then we investigate the promotion action on a Young Fibonacci tableau and determine the order of the action. In contrast with the fact that there is no general formula of the promotion order for a standard Young tableau, here we can determine the order completely.

Original languageEnglish
Article number113751
JournalDiscrete Mathematics
Issue number2
Publication statusPublished - 2024 Feb


  • Promotion
  • Sign balance
  • Young-Fibonacci tableaux

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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